log(6*x+10)=log(x^2+11)

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Solution for log(6*x+10)=log(x^2+11) equation:


Simplifying
log(6x + 10) = log(x2 + 11)

Reorder the terms:
glo(10 + 6x) = log(x2 + 11)
(10 * glo + 6x * glo) = log(x2 + 11)
(10glo + 6glox) = log(x2 + 11)

Reorder the terms:
10glo + 6glox = glo(11 + x2)
10glo + 6glox = (11 * glo + x2 * glo)
10glo + 6glox = (11glo + glox2)

Solving
10glo + 6glox = 11glo + glox2

Solving for variable 'g'.

Move all terms containing g to the left, all other terms to the right.

Add '-11glo' to each side of the equation.
10glo + -11glo + 6glox = 11glo + -11glo + glox2

Combine like terms: 10glo + -11glo = -1glo
-1glo + 6glox = 11glo + -11glo + glox2

Combine like terms: 11glo + -11glo = 0
-1glo + 6glox = 0 + glox2
-1glo + 6glox = glox2

Add '-1glox2' to each side of the equation.
-1glo + 6glox + -1glox2 = glox2 + -1glox2

Combine like terms: glox2 + -1glox2 = 0
-1glo + 6glox + -1glox2 = 0

Factor out the Greatest Common Factor (GCF), 'glo'.
glo(-1 + 6x + -1x2) = 0

Subproblem 1

Set the factor 'glo' equal to zero and attempt to solve: Simplifying glo = 0 Solving glo = 0 Move all terms containing g to the left, all other terms to the right. Simplifying glo = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 2

Set the factor '(-1 + 6x + -1x2)' equal to zero and attempt to solve: Simplifying -1 + 6x + -1x2 = 0 Solving -1 + 6x + -1x2 = 0 Move all terms containing g to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 6x + 1 + -1x2 = 0 + 1 Reorder the terms: -1 + 1 + 6x + -1x2 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 6x + -1x2 = 0 + 1 6x + -1x2 = 0 + 1 Combine like terms: 0 + 1 = 1 6x + -1x2 = 1 Add '-6x' to each side of the equation. 6x + -6x + -1x2 = 1 + -6x Combine like terms: 6x + -6x = 0 0 + -1x2 = 1 + -6x -1x2 = 1 + -6x Add 'x2' to each side of the equation. -1x2 + x2 = 1 + -6x + x2 Combine like terms: -1x2 + x2 = 0 0 = 1 + -6x + x2 Simplifying 0 = 1 + -6x + x2 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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